Optimal local truncation error method for solution of partial differential equations on irregular domains and interfaces using unfitted Cartesian meshes

A Idesman - Archives of Computational Methods in Engineering, 2023 - Springer
The review of the optimal local truncation error method (OLTEM) for the numerical solution of
PDEs is presented along with some new developments of OLTEM. First, we explain the …

A review of the application of spectral methods in computational ocean acoustics

Y Wang, H Tu, G Xu, D Gao - Physics of Fluids, 2023 - pubs.aip.org
Spectral methods are a new and niche numerical discretization method with the main
characteristic of high accuracy. Spectral methods have been applied in many fields of …

Optimal local truncation error method for 3-D elasticity interface problems

A Idesman, M Mobin, J Bishop - International Journal of Mechanical …, 2024 - Elsevier
The paper deals with a new effective numerical technique on unfitted Cartesian meshes for
simulations of heterogeneous elastic materials. We develop the optimal local truncation …

11-th order of accuracy for numerical solution of 3-D Poisson equation with irregular interfaces on unfitted Cartesian meshes

A Idesman, M Mobin, J Bishop - Computer Methods in Applied Mechanics …, 2023 - Elsevier
For the first time the optimal local truncation error method (OLTEM) with 125-point stencils
and unfitted Cartesian meshes has been developed in the general 3-D case for the Poisson …

Application of a spectral scheme to simulate horizontally slowly varying three-dimensional ocean acoustic propagation

H Tu, Y Wang, X Zhou, G Xu, D Gao, S Ma - arXiv preprint arXiv …, 2024 - arxiv.org
Three-dimensional numerical models for underwater sound propagation are popular in
computational ocean acoustics. For horizontally slowly varying waveguide environments, an …